Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 21, Problem 48P
In Fig. 21-41, three identical
Figure 21-41 Problem 48.
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A cylinder with a piston contains 0.153 mol of
nitrogen at a pressure of 1.83×105 Pa and a
temperature of 290 K. The nitrogen may be
treated as an ideal gas. The gas is first compressed
isobarically to half its original volume. It then
expands adiabatically back to its original volume,
and finally it is heated isochorically to its original
pressure.
Part A
Compute the temperature at the beginning of the adiabatic expansion.
Express your answer in kelvins.
ΕΠΙ ΑΣΦ
T₁ =
?
K
Submit
Request Answer
Part B
Compute the temperature at the end of the adiabatic expansion.
Express your answer in kelvins.
Π ΑΣΦ
T₂ =
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Request Answer
Part C
Compute the minimum pressure.
Express your answer in pascals.
ΕΠΙ ΑΣΦ
P =
Submit
Request Answer
?
?
K
Pa
Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
Τ
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
Learning Goal:
To understand the meaning and the basic applications of
pV diagrams for an ideal gas.
As you know, the parameters of an ideal gas are
described by the equation
pV = nRT,
where p is the pressure of the gas, V is the volume of
the gas, n is the number of moles, R is the universal gas
constant, and T is the absolute temperature of the gas. It
follows that, for a portion of an ideal gas,
pV
= constant.
T
One can see that, if the amount of gas remains constant,
it is impossible to change just one parameter of the gas:
At least one more parameter would also change. For
instance, if the pressure of the gas is changed, we can
be sure that either the volume or the temperature of the
gas (or, maybe, both!) would also change.
To explore these changes, it is often convenient to draw a
graph showing one parameter as a function of the other.
Although there are many choices of axes, the most
common one is a plot of pressure as a function of
volume: a pV diagram.
In this problem, you…
Chapter 21 Solutions
Fundamentals of Physics Extended
Ch. 21 - Figure 21-11 shows 1 four situations in which five...Ch. 21 - Figure 21-12 shows three pairs of identical...Ch. 21 - Figure 21-13 shows four situations in which...Ch. 21 - Figure 21-14 shows two charged particles on an...Ch. 21 - In Fig. 21-15, a central particle of charge q is...Ch. 21 - A positively charged ball is brought close to an...Ch. 21 - Figure 21-16 shows three situations involving a...Ch. 21 - Figure 21-17 shows four arrangements of charged...Ch. 21 - Figure 21-18 shows four situations in which...Ch. 21 - In Fig. 21-19, a central particle of charge 2q is...
Ch. 21 - Figure 21-20 shows three identical conducting...Ch. 21 - Figure 21-21 shows four situations in which a...Ch. 21 - SSM ILW Of the charge Q initially on a tiny...Ch. 21 - Identical isolated conducting spheres 1 and 2 have...Ch. 21 - SSM What must be the distance between point charge...Ch. 21 - In the return stroke of a typical lightning bolt,...Ch. 21 - A particle of charge 3.00 106 C is 12.0 cm...Ch. 21 - ILW Two equally chained particles are held 3.2 ...Ch. 21 - In Fig. 21-23, three charged particles lie on an x...Ch. 21 - In Fig. 21-24, three identical conducting spheres...Ch. 21 - SSM WWW Two identical conducting spheres, fixed in...Ch. 21 - GO In Fig. 21-25, four particles form a square....Ch. 21 - ILW In Fig. 21-25, the particles have charges q1 =...Ch. 21 - Two particles are fixed on an x axis. Particle 1...Ch. 21 - GO In Fig. 21-26, particle 1 of charge l.0 C and...Ch. 21 - Three particles are fixed on an x axis. Particle 1...Ch. 21 - GO The charges and coordinates of two charged...Ch. 21 - GO In Fig. 21-27a, particle l of charge q1 and...Ch. 21 - In Fig.21-28a, particles 1 and 2 have charge 20.0...Ch. 21 - In Fig. 21-29a, three positively charged particles...Ch. 21 - SSM WWW In Fig. 21-26, particle 1 of charge q and...Ch. 21 - GO Figure 21-30a shows an arrangement of three...Ch. 21 - GO A nonconducting spherical shell, with an inner...Ch. 21 - GO Figure 21-31 shows an arrangement of four...Ch. 21 - GO In Fig. 21-32, particles 1 and 2 of charge q1 =...Ch. 21 - Two tiny, spherical water drops, with identical...Ch. 21 - ILW How many electrons would have to be removed...Ch. 21 - Prob. 26PCh. 21 - SSM The magnitude of the electrostatic force...Ch. 21 - A current of 0.300 A through your chest can send...Ch. 21 - GO In Fig. 21-33, particles 2 and 4, of charge e,...Ch. 21 - In Fig. 21-26, particles 1 and 2 are fixed in...Ch. 21 - ILW Earths atmosphere is constantly bombarded by...Ch. 21 - GO Figure 21-34a shows charged particles 1 and 2...Ch. 21 - Calculate the number of coulombs of positive...Ch. 21 - GO Figure 21-35 shows electrons 1 and 2 on an x...Ch. 21 - SSM In crystals of the salt cesium chloride,...Ch. 21 - Electrons and positrons are produced by the...Ch. 21 - Prob. 37PCh. 21 - GO Figure 21-37 shows four identical conducting...Ch. 21 - SSM In Fig. 21-38, particle 1 of charge 4e is...Ch. 21 - In Fig, 21-23, particles 1 and 2 are fixed in...Ch. 21 - a What equal positive charges would have to be...Ch. 21 - In Fig. 21-39, two tiny conducting balls of...Ch. 21 - a Explain what happens to the balls of Problem 42...Ch. 21 - SSM How far apart must two protons be if the...Ch. 21 - How many megacoulombs of positive charge are in...Ch. 21 - In Fig. 21-40, four particles are fixed along an x...Ch. 21 - GO Point charges of 6.0 C and 4.0 C are placed on...Ch. 21 - In Fig. 21-41, three identical conducting spheres...Ch. 21 - A neutron consists of ore up quark of charge 2e/3...Ch. 21 - Figure 21-42 shows a long, nonconducting, massless...Ch. 21 - A charged nonconducting rod, with a length of 2.00...Ch. 21 - A particle of charge Q is Fixed at the origin of...Ch. 21 - What would be the magnitude of the electrostatic...Ch. 21 - A charge of 6.0 C is to be split into two parts...Ch. 21 - Of the charge Q on a tiny sphere, a fraction is...Ch. 21 - If a cat repeatedly rubs against your cotton...Ch. 21 - We know that the negative charge on the electron...Ch. 21 - In Fig, 21-26, particle 1 of charge 80.0C and...Ch. 21 - What is the total charge in coulombs of 75.0 kg of...Ch. 21 - GO In Fig. 21-43, six charged particles surround...Ch. 21 - Three charged particles form a triangle: particle...Ch. 21 - SSM In Fig. 21-44, what are the a magnitude and b...Ch. 21 - Two point charges of 30 nC and 40 nC are held...Ch. 21 - Two small, positively charged spheres have a...Ch. 21 - The initial charges on the three identical metal...Ch. 21 - An electron is in a vacuum near Earths surface and...Ch. 21 - SSM In Fig. 21-26, particle 1 of charge 5.00q and...Ch. 21 - Two engineering students, John with a mass of 90...Ch. 21 - In the radioactive decay of Eq. 21-13, a 238U...Ch. 21 - In Fig. 21-25, four particles form a square. The...Ch. 21 - In a spherical metal shell of radius R, an...Ch. 21 - An electron is projected with an initial speed vl...Ch. 21 - In an early model of the hydrogen atom the Bohr...Ch. 21 - A100 W lamp has a steady current of 0.83 A in its...Ch. 21 - The charges of an electron and a positron are e...
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